Abstract

This report presents a strategic recommendation to assist Julia, the Category Manager, in preparing for an upcoming category review. The analysis focuses on customer purchasing trends and chip-buying behaviors, with particular attention to segmenting customers and identifying key metrics that define their behavior. Utilizing R, with Python as an alternative tool, this study includes data cleaning, outlier detection, and the creation of derived features like pack size and brand name. High-level data summaries and targeted metrics enable the identification of spending drivers across customer segments. The goal is to develop actionable insights with commercial applicability to inform Julia’s strategic decisions effectively.

Data Preparation

Loading Libraries

# Load the required libraries
library(readxl)
Warning: package 'readxl' was built under R version 4.4.2
library(dplyr)
Warning: package 'dplyr' was built under R version 4.4.2

Attaching package: 'dplyr'
The following objects are masked from 'package:stats':

    filter, lag
The following objects are masked from 'package:base':

    intersect, setdiff, setequal, union

Importing Data

# Load the data
transaction_data <- read_excel("data/QVI_transaction_data.xlsx")
customer_data <- read.csv("data/QVI_purchase_behaviour.csv")

# Display the data
transaction_data
customer_data

Summary Statistics

# Summary statistics for transaction data
summary(transaction_data)   # Summary statistics for transaction data
      DATE         STORE_NBR     LYLTY_CARD_NBR        TXN_ID       
 Min.   :43282   Min.   :  1.0   Min.   :   1000   Min.   :      1  
 1st Qu.:43373   1st Qu.: 70.0   1st Qu.:  70021   1st Qu.:  67602  
 Median :43464   Median :130.0   Median : 130358   Median : 135138  
 Mean   :43464   Mean   :135.1   Mean   : 135550   Mean   : 135158  
 3rd Qu.:43555   3rd Qu.:203.0   3rd Qu.: 203094   3rd Qu.: 202701  
 Max.   :43646   Max.   :272.0   Max.   :2373711   Max.   :2415841  
    PROD_NBR       PROD_NAME            PROD_QTY         TOT_SALES      
 Min.   :  1.00   Length:264836      Min.   :  1.000   Min.   :  1.500  
 1st Qu.: 28.00   Class :character   1st Qu.:  2.000   1st Qu.:  5.400  
 Median : 56.00   Mode  :character   Median :  2.000   Median :  7.400  
 Mean   : 56.58                      Mean   :  1.907   Mean   :  7.304  
 3rd Qu.: 85.00                      3rd Qu.:  2.000   3rd Qu.:  9.200  
 Max.   :114.00                      Max.   :200.000   Max.   :650.000  
str(transaction_data)    # Structure of transaction data
tibble [264,836 × 8] (S3: tbl_df/tbl/data.frame)
 $ DATE          : num [1:264836] 43390 43599 43605 43329 43330 ...
 $ STORE_NBR     : num [1:264836] 1 1 1 2 2 4 4 4 5 7 ...
 $ LYLTY_CARD_NBR: num [1:264836] 1000 1307 1343 2373 2426 ...
 $ TXN_ID        : num [1:264836] 1 348 383 974 1038 ...
 $ PROD_NBR      : num [1:264836] 5 66 61 69 108 57 16 24 42 52 ...
 $ PROD_NAME     : chr [1:264836] "Natural Chip        Compny SeaSalt175g" "CCs Nacho Cheese    175g" "Smiths Crinkle Cut  Chips Chicken 170g" "Smiths Chip Thinly  S/Cream&Onion 175g" ...
 $ PROD_QTY      : num [1:264836] 2 3 2 5 3 1 1 1 1 2 ...
 $ TOT_SALES     : num [1:264836] 6 6.3 2.9 15 13.8 5.1 5.7 3.6 3.9 7.2 ...
nrow(transaction_data)   # Number of rows in transaction data
[1] 264836
# Summary statistics for customer data
summary(customer_data)   # Summary statistics for customer data
 LYLTY_CARD_NBR     LIFESTAGE         PREMIUM_CUSTOMER  
 Min.   :   1000   Length:72637       Length:72637      
 1st Qu.:  66202   Class :character   Class :character  
 Median : 134040   Mode  :character   Mode  :character  
 Mean   : 136186                                        
 3rd Qu.: 203375                                        
 Max.   :2373711                                        
str(customer_data)    # Structure of customer data
'data.frame':   72637 obs. of  3 variables:
 $ LYLTY_CARD_NBR  : int  1000 1002 1003 1004 1005 1007 1009 1010 1011 1012 ...
 $ LIFESTAGE       : chr  "YOUNG SINGLES/COUPLES" "YOUNG SINGLES/COUPLES" "YOUNG FAMILIES" "OLDER SINGLES/COUPLES" ...
 $ PREMIUM_CUSTOMER: chr  "Premium" "Mainstream" "Budget" "Mainstream" ...
nrow(customer_data)   # Number of rows in customer data
[1] 72637

Variables Description

The transaction data contains the following variables:

  • DATE: Date of purchase
  • STORE_NBR: Store number
  • LYLTY_CARD_NBR: Customer loyalty card number
  • TXN_ID: Transaction ID
  • PROD_NBR: Product number
  • PROD_NAME: Product name
  • PROD_QTY: Quantity of product purchased
  • TOT_SALES: Total sales ($)

The customer data contains the following variables:

  • LYLTY_CARD_NBR: Customer loyalty card number
  • LIFESTAGE: Customer lifestage
  • PREMIUM_CUSTOMER: Customer premium status

Data Cleaning

Missing Values

# Check for missing values in transaction data
colSums(is.na(transaction_data))
          DATE      STORE_NBR LYLTY_CARD_NBR         TXN_ID       PROD_NBR 
             0              0              0              0              0 
     PROD_NAME       PROD_QTY      TOT_SALES 
             0              0              0 
# Check for missing values in customer data
colSums(is.na(customer_data))
  LYLTY_CARD_NBR        LIFESTAGE PREMIUM_CUSTOMER 
               0                0                0 

From the results, there are no missing values in both the transaction and customer data.

Fix Data Types

# Fix date format in transaction data
transaction_data$DATE <- as.Date(transaction_data$DATE, origin = "1899-12-30")
transaction_data
# Check unique values in all variables in transaction data
sort(unique(transaction_data$STORE_NBR))
  [1]   1   2   3   4   5   6   7   8   9  10  11  12  13  14  15  16  17  18
 [19]  19  20  21  22  23  24  25  26  27  28  29  30  31  32  33  34  35  36
 [37]  37  38  39  40  41  42  43  44  45  46  47  48  49  50  51  52  53  54
 [55]  55  56  57  58  59  60  61  62  63  64  65  66  67  68  69  70  71  72
 [73]  73  74  75  76  77  78  79  80  81  82  83  84  85  86  87  88  89  90
 [91]  91  92  93  94  95  96  97  98  99 100 101 102 103 104 105 106 107 108
[109] 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126
[127] 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144
[145] 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162
[163] 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180
[181] 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198
[199] 199 200 201 202 203 204 205 206 207 208 209 210 211 212 213 214 215 216
[217] 217 218 219 220 221 222 223 224 225 226 227 228 229 230 231 232 233 234
[235] 235 236 237 238 239 240 241 242 243 244 245 246 247 248 249 250 251 252
[253] 253 254 255 256 257 258 259 260 261 262 263 264 265 266 267 268 269 270
[271] 271 272
sort(unique(transaction_data$PROD_NBR))
  [1]   1   2   3   4   5   6   7   8   9  10  11  12  13  14  15  16  17  18
 [19]  19  20  21  22  23  24  25  26  27  28  29  30  31  32  33  34  35  36
 [37]  37  38  39  40  41  42  43  44  45  46  47  48  49  50  51  52  53  54
 [55]  55  56  57  58  59  60  61  62  63  64  65  66  67  68  69  70  71  72
 [73]  73  74  75  76  77  78  79  80  81  82  83  84  85  86  87  88  89  90
 [91]  91  92  93  94  95  96  97  98  99 100 101 102 103 104 105 106 107 108
[109] 109 110 111 112 113 114
sort(unique(transaction_data$PROD_NAME))
  [1] "Burger Rings 220g"                       
  [2] "CCs Nacho Cheese    175g"                
  [3] "CCs Original 175g"                       
  [4] "CCs Tasty Cheese    175g"                
  [5] "Cheetos Chs & Bacon Balls 190g"          
  [6] "Cheetos Puffs 165g"                      
  [7] "Cheezels Cheese 330g"                    
  [8] "Cheezels Cheese Box 125g"                
  [9] "Cobs Popd Sea Salt  Chips 110g"          
 [10] "Cobs Popd Sour Crm  &Chives Chips 110g"  
 [11] "Cobs Popd Swt/Chlli &Sr/Cream Chips 110g"
 [12] "Dorito Corn Chp     Supreme 380g"        
 [13] "Doritos Cheese      Supreme 330g"        
 [14] "Doritos Corn Chip Mexican Jalapeno 150g" 
 [15] "Doritos Corn Chip Southern Chicken 150g" 
 [16] "Doritos Corn Chips  Cheese Supreme 170g" 
 [17] "Doritos Corn Chips  Nacho Cheese 170g"   
 [18] "Doritos Corn Chips  Original 170g"       
 [19] "Doritos Mexicana    170g"                
 [20] "Doritos Salsa       Medium 300g"         
 [21] "Doritos Salsa Mild  300g"                
 [22] "French Fries Potato Chips 175g"          
 [23] "Grain Waves         Sweet Chilli 210g"   
 [24] "Grain Waves Sour    Cream&Chives 210G"   
 [25] "GrnWves Plus Btroot & Chilli Jam 180g"   
 [26] "Infuzions BBQ Rib   Prawn Crackers 110g" 
 [27] "Infuzions Mango     Chutny Papadums 70g" 
 [28] "Infuzions SourCream&Herbs Veg Strws 110g"
 [29] "Infuzions Thai SweetChili PotatoMix 110g"
 [30] "Infzns Crn Crnchers Tangy Gcamole 110g"  
 [31] "Kettle 135g Swt Pot Sea Salt"            
 [32] "Kettle Chilli 175g"                      
 [33] "Kettle Honey Soy    Chicken 175g"        
 [34] "Kettle Mozzarella   Basil & Pesto 175g"  
 [35] "Kettle Original 175g"                    
 [36] "Kettle Sea Salt     And Vinegar 175g"    
 [37] "Kettle Sensations   BBQ&Maple 150g"      
 [38] "Kettle Sensations   Camembert & Fig 150g"
 [39] "Kettle Sensations   Siracha Lime 150g"   
 [40] "Kettle Sweet Chilli And Sour Cream 175g" 
 [41] "Kettle Tortilla ChpsBtroot&Ricotta 150g" 
 [42] "Kettle Tortilla ChpsFeta&Garlic 150g"    
 [43] "Kettle Tortilla ChpsHny&Jlpno Chili 150g"
 [44] "Natural Chip        Compny SeaSalt175g"  
 [45] "Natural Chip Co     Tmato Hrb&Spce 175g" 
 [46] "Natural ChipCo      Hony Soy Chckn175g"  
 [47] "Natural ChipCo Sea  Salt & Vinegr 175g"  
 [48] "NCC Sour Cream &    Garden Chives 175g"  
 [49] "Old El Paso Salsa   Dip Chnky Tom Ht300g"
 [50] "Old El Paso Salsa   Dip Tomato Med 300g" 
 [51] "Old El Paso Salsa   Dip Tomato Mild 300g"
 [52] "Pringles Barbeque   134g"                
 [53] "Pringles Chicken    Salt Crips 134g"     
 [54] "Pringles Mystery    Flavour 134g"        
 [55] "Pringles Original   Crisps 134g"         
 [56] "Pringles Slt Vingar 134g"                
 [57] "Pringles SourCream  Onion 134g"          
 [58] "Pringles Sthrn FriedChicken 134g"        
 [59] "Pringles Sweet&Spcy BBQ 134g"            
 [60] "Red Rock Deli Chikn&Garlic Aioli 150g"   
 [61] "Red Rock Deli Sp    Salt & Truffle 150G" 
 [62] "Red Rock Deli SR    Salsa & Mzzrlla 150g"
 [63] "Red Rock Deli Thai  Chilli&Lime 150g"    
 [64] "RRD Chilli&         Coconut 150g"        
 [65] "RRD Honey Soy       Chicken 165g"        
 [66] "RRD Lime & Pepper   165g"                
 [67] "RRD Pc Sea Salt     165g"                
 [68] "RRD Salt & Vinegar  165g"                
 [69] "RRD SR Slow Rst     Pork Belly 150g"     
 [70] "RRD Steak &         Chimuchurri 150g"    
 [71] "RRD Sweet Chilli &  Sour Cream 165g"     
 [72] "Smith Crinkle Cut   Bolognese 150g"      
 [73] "Smith Crinkle Cut   Mac N Cheese 150g"   
 [74] "Smiths Chip Thinly  Cut Original 175g"   
 [75] "Smiths Chip Thinly  CutSalt/Vinegr175g"  
 [76] "Smiths Chip Thinly  S/Cream&Onion 175g"  
 [77] "Smiths Crinkle      Original 330g"       
 [78] "Smiths Crinkle Chips Salt & Vinegar 330g"
 [79] "Smiths Crinkle Cut  Chips Barbecue 170g" 
 [80] "Smiths Crinkle Cut  Chips Chicken 170g"  
 [81] "Smiths Crinkle Cut  Chips Chs&Onion170g" 
 [82] "Smiths Crinkle Cut  Chips Original 170g" 
 [83] "Smiths Crinkle Cut  French OnionDip 150g"
 [84] "Smiths Crinkle Cut  Salt & Vinegar 170g" 
 [85] "Smiths Crinkle Cut  Snag&Sauce 150g"     
 [86] "Smiths Crinkle Cut  Tomato Salsa 150g"   
 [87] "Smiths Crnkle Chip  Orgnl Big Bag 380g"  
 [88] "Smiths Thinly       Swt Chli&S/Cream175G"
 [89] "Smiths Thinly Cut   Roast Chicken 175g"  
 [90] "Snbts Whlgrn Crisps Cheddr&Mstrd 90g"    
 [91] "Sunbites Whlegrn    Crisps Frch/Onin 90g"
 [92] "Thins Chips         Originl saltd 175g"  
 [93] "Thins Chips Light&  Tangy 175g"          
 [94] "Thins Chips Salt &  Vinegar 175g"        
 [95] "Thins Chips Seasonedchicken 175g"        
 [96] "Thins Potato Chips  Hot & Spicy 175g"    
 [97] "Tostitos Lightly    Salted 175g"         
 [98] "Tostitos Smoked     Chipotle 175g"       
 [99] "Tostitos Splash Of  Lime 175g"           
[100] "Twisties Cheese     270g"                
[101] "Twisties Cheese     Burger 250g"         
[102] "Twisties Chicken270g"                    
[103] "Tyrrells Crisps     Ched & Chives 165g"  
[104] "Tyrrells Crisps     Lightly Salted 165g" 
[105] "Woolworths Cheese   Rings 190g"          
[106] "Woolworths Medium   Salsa 300g"          
[107] "Woolworths Mild     Salsa 300g"          
[108] "WW Crinkle Cut      Chicken 175g"        
[109] "WW Crinkle Cut      Original 175g"       
[110] "WW D/Style Chip     Sea Salt 200g"       
[111] "WW Original Corn    Chips 200g"          
[112] "WW Original Stacked Chips 160g"          
[113] "WW Sour Cream &OnionStacked Chips 160g"  
[114] "WW Supreme Cheese   Corn Chips 200g"     
Burger Rings 220g
CCs Nacho Cheese    175g
CCs Original 175g
CCs Tasty Cheese    175g
Cheetos Chs & Bacon Balls 190g
Cheetos Puffs 165g
Cheezels Cheese 330g
Cheezels Cheese Box 125g
Cobs Popd Sea Salt  Chips 110g
Cobs Popd Sour Crm  &Chives Chips 110g
Cobs Popd Swt/Chlli &Sr/Cream Chips 110g
Dorito Corn Chp     Supreme 380g
Doritos Cheese      Supreme 330g
Doritos Corn Chip Mexican Jalapeno 150g
Doritos Corn Chip Southern Chicken 150g
Doritos Corn Chips  Cheese Supreme 170g
Doritos Corn Chips  Nacho Cheese 170g
Doritos Corn Chips  Original 170g
Doritos Mexicana    170g
Doritos Salsa       Medium 300g
Doritos Salsa Mild  300g
French Fries Potato Chips 175g
Grain Waves         Sweet Chilli 210g
Grain Waves Sour    Cream&Chives 210G
GrnWves Plus Btroot & Chilli Jam 180g
Infuzions BBQ Rib   Prawn Crackers 110g
Infuzions Mango     Chutny Papadums 70g
Infuzions SourCream&Herbs Veg Strws 110g
Infuzions Thai SweetChili PotatoMix 110g
Infzns Crn Crnchers Tangy Gcamole 110g
Kettle 135g Swt Pot Sea Salt
Kettle Chilli 175g
Kettle Honey Soy    Chicken 175g
Kettle Mozzarella   Basil & Pesto 175g
Kettle Original 175g
Kettle Sea Salt     And Vinegar 175g
Kettle Sensations   BBQ&Maple 150g
Kettle Sensations   Camembert & Fig 150g
Kettle Sensations   Siracha Lime 150g
Kettle Sweet Chilli And Sour Cream 175g
Kettle Tortilla ChpsBtroot&Ricotta 150g
Kettle Tortilla ChpsFeta&Garlic 150g
Kettle Tortilla ChpsHny&Jlpno Chili 150g
Natural Chip        Compny SeaSalt175g
Natural Chip Co     Tmato Hrb&Spce 175g
Natural ChipCo      Hony Soy Chckn175g
Natural ChipCo Sea  Salt & Vinegr 175g
NCC Sour Cream &    Garden Chives 175g
Old El Paso Salsa   Dip Chnky Tom Ht300g
Old El Paso Salsa   Dip Tomato Med 300g
Old El Paso Salsa   Dip Tomato Mild 300g
Pringles Barbeque   134g
Pringles Chicken    Salt Crips 134g
Pringles Mystery    Flavour 134g
Pringles Original   Crisps 134g
Pringles Slt Vingar 134g
Pringles SourCream  Onion 134g
Pringles Sthrn FriedChicken 134g
Pringles Sweet&Spcy BBQ 134g
Red Rock Deli Chikn&Garlic Aioli 150g
Red Rock Deli Sp    Salt & Truffle 150G
Red Rock Deli SR    Salsa & Mzzrlla 150g
Red Rock Deli Thai  Chilli&Lime 150g
RRD Chilli&         Coconut 150g
RRD Honey Soy       Chicken 165g
RRD Lime & Pepper   165g
RRD Pc Sea Salt     165g
RRD Salt & Vinegar  165g
RRD SR Slow Rst     Pork Belly 150g
RRD Steak &         Chimuchurri 150g
RRD Sweet Chilli &  Sour Cream 165g
Smith Crinkle Cut   Bolognese 150g
Smith Crinkle Cut   Mac N Cheese 150g
Smiths Chip Thinly  Cut Original 175g
Smiths Chip Thinly  CutSalt/Vinegr175g
Smiths Chip Thinly  S/Cream&Onion 175g
Smiths Crinkle      Original 330g
Smiths Crinkle Chips Salt & Vinegar 330g
Smiths Crinkle Cut  Chips Barbecue 170g
Smiths Crinkle Cut  Chips Chicken 170g
Smiths Crinkle Cut  Chips Chs&Onion170g
Smiths Crinkle Cut  Chips Original 170g
Smiths Crinkle Cut  French OnionDip 150g
Smiths Crinkle Cut  Salt & Vinegar 170g
Smiths Crinkle Cut  Snag&Sauce 150g
Smiths Crinkle Cut  Tomato Salsa 150g
Smiths Crnkle Chip  Orgnl Big Bag 380g
Smiths Thinly       Swt Chli&S/Cream175G
Smiths Thinly Cut   Roast Chicken 175g
Snbts Whlgrn Crisps Cheddr&Mstrd 90g
Sunbites Whlegrn    Crisps Frch/Onin 90g
Thins Chips         Originl saltd 175g
Thins Chips Light&  Tangy 175g
Thins Chips Salt &  Vinegar 175g
Thins Chips Seasonedchicken 175g
Thins Potato Chips  Hot & Spicy 175g
Tostitos Lightly    Salted 175g
Tostitos Smoked     Chipotle 175g
Tostitos Splash Of  Lime 175g
Twisties Cheese     270g
Twisties Cheese     Burger 250g
Twisties Chicken270g
Tyrrells Crisps     Ched & Chives 165g
Tyrrells Crisps     Lightly Salted 165g
Woolworths Cheese   Rings 190g
Woolworths Medium   Salsa 300g
Woolworths Mild     Salsa 300g
WW Crinkle Cut      Chicken 175g
WW Crinkle Cut      Original 175g
WW D/Style Chip     Sea Salt 200g
WW Original Corn    Chips 200g
WW Original Stacked Chips 160g
WW Sour Cream &OnionStacked Chips 160g
WW Supreme Cheese   Corn Chips 200g
sort(unique(transaction_data$PROD_QTY))
[1]   1   2   3   4   5 200
sort(unique(transaction_data$TOT_SALES))
  [1]   1.50   1.70   1.80   1.90   2.10   2.30   2.40   2.60   2.70   2.80
 [11]   2.90   3.00   3.10   3.25   3.30   3.40   3.60   3.70   3.80   3.90
 [21]   4.20   4.30   4.40   4.50   4.60   4.80   5.10   5.20   5.40   5.60
 [31]   5.70   5.80   5.90   6.00   6.20   6.30   6.50   6.60   6.80   6.90
 [41]   7.20   7.40   7.50   7.60   7.80   8.10   8.40   8.50   8.60   8.70
 [51]   8.80   9.00   9.20   9.30   9.50   9.60   9.75   9.90  10.20  10.40
 [61]  10.50  10.80  11.10  11.20  11.40  11.50  11.60  11.70  11.80  12.00
 [71]  12.40  12.60  12.90  13.00  13.20  13.50  13.80  14.00  14.40  14.50
 [81]  14.80  15.00  15.20  15.30  15.50  15.60  16.20  16.25  16.50  16.80
 [91]  17.10  17.20  17.60  17.70  18.00  18.40  18.50  19.00  19.50  20.40
[101]  21.00  21.50  21.60  22.00  22.80  23.00  23.60  25.50  27.00  28.50
[111]  29.50 650.00
# Check unique values in all variables in customer data
sort(unique(customer_data$LIFESTAGE))
[1] "MIDAGE SINGLES/COUPLES" "NEW FAMILIES"           "OLDER FAMILIES"        
[4] "OLDER SINGLES/COUPLES"  "RETIREES"               "YOUNG FAMILIES"        
[7] "YOUNG SINGLES/COUPLES" 
MIDAGE SINGLES/COUPLES
NEW FAMILIES
OLDER FAMILIES
OLDER SINGLES/COUPLES
RETIREES
YOUNG FAMILIES
YOUNG SINGLES/COUPLES
sort(unique(customer_data$PREMIUM_CUSTOMER))
[1] "Budget"     "Mainstream" "Premium"   
Budget
Mainstream
Premium

Outlier Detection

# Boxplot for total sales
boxplot(transaction_data$TOT_SALES, main = "Total Sales Boxplot")

hist(transaction_data$TOT_SALES, main = "Total Sales Histogram")

# Remove outliers
q1 <- quantile(transaction_data$TOT_SALES, 0.25, na.rm = TRUE)  # First quartile
q3 <- quantile(transaction_data$TOT_SALES, 0.75, na.rm = TRUE)  # First quartile
IQR <- q3 - q1

lower_bound <- q1 - 1.5 * IQR
upper_bound <- q3 + 1.5 * IQR

transaction_data <- transaction_data[transaction_data$TOT_SALES <= upper_bound, ]

# Check for outliers in total sales
boxplot(transaction_data$TOT_SALES, main = "Total Sales Boxplot")

hist(transaction_data$TOT_SALES, main = "Total Sales Histogram")

Both histogram and boxplot show that the outliers have been removed from the total sales data and the total sales data now looks normally distributed. We now use numerical method to test our hypothesis.

  • Null Hypothesis: The data is normally distributed.
  • Alternative Hypothesis: The data is not normally distributed.
# Shapiro-Wilk test for normality
sample_tot_sales <- transaction_data[sample(nrow(transaction_data), 1000), ]$TOT_SALES
shapiro.test(sample_tot_sales)

    Shapiro-Wilk normality test

data:  sample_tot_sales
W = 0.98153, p-value = 6.002e-10

The p-value is 7.682e-08 which is less than 0.05. Therefore, we reject the null hypothesis and conclude that the data is not normally distributed.

Merge Data

# Merge transaction and customer data by loyalty card number
merged_data <- merge(transaction_data, customer_data, by = "LYLTY_CARD_NBR")
merged_data

Exploratory Data Analysis (EDA)

Life Stage Analysis

I will analyze the distribution of customers across different life stages.

YOUNG SINGLES/COUPLES

# Sample data for young singles/couples
young_singles_couples <- merged_data[merged_data$LIFESTAGE == "YOUNG SINGLES/COUPLES", ]
young_singles_couples
# Summary statistics for young singles/couples
summary(young_singles_couples) # Summary statistics for young singles/couples
 LYLTY_CARD_NBR         DATE              STORE_NBR         TXN_ID      
 Min.   :   1000   Min.   :2018-07-01   Min.   :  1.0   Min.   :     1  
 1st Qu.:  65345   1st Qu.:2018-09-30   1st Qu.: 65.0   1st Qu.: 63089  
 Median : 133221   Median :2018-12-29   Median :133.0   Median :137478  
 Mean   : 135616   Mean   :2018-12-30   Mean   :135.1   Mean   :135184  
 3rd Qu.: 205375   3rd Qu.:2019-03-30   3rd Qu.:205.0   3rd Qu.:204443  
 Max.   :2373711   Max.   :2019-06-30   Max.   :272.0   Max.   :270205  
    PROD_NBR       PROD_NAME            PROD_QTY       TOT_SALES    
 Min.   :  1.00   Length:36321       Min.   :1.000   Min.   : 1.50  
 1st Qu.: 28.00   Class :character   1st Qu.:2.000   1st Qu.: 5.40  
 Median : 55.00   Mode  :character   Median :2.000   Median : 7.40  
 Mean   : 56.19                      Mean   :1.828   Mean   : 7.14  
 3rd Qu.: 84.00                      3rd Qu.:2.000   3rd Qu.: 8.80  
 Max.   :114.00                      Max.   :5.000   Max.   :14.80  
  LIFESTAGE         PREMIUM_CUSTOMER  
 Length:36321       Length:36321      
 Class :character   Class :character  
 Mode  :character   Mode  :character  
                                      
                                      
                                      
str(young_singles_couples)  # Structure of young singles/couples
'data.frame':   36321 obs. of  10 variables:
 $ LYLTY_CARD_NBR  : num  1000 1002 1007 1007 1010 ...
 $ DATE            : Date, format: "2018-10-17" "2018-09-16" ...
 $ STORE_NBR       : num  1 1 1 1 1 1 1 1 1 1 ...
 $ TXN_ID          : num  1 2 8 7 10 11 22 23 24 26 ...
 $ PROD_NBR        : num  5 58 10 49 51 59 3 97 38 19 ...
 $ PROD_NAME       : chr  "Natural Chip        Compny SeaSalt175g" "Red Rock Deli Chikn&Garlic Aioli 150g" "RRD SR Slow Rst     Pork Belly 150g" "Infuzions SourCream&Herbs Veg Strws 110g" ...
 $ PROD_QTY        : num  2 1 1 1 2 1 1 1 1 1 ...
 $ TOT_SALES       : num  6 2.7 2.7 3.8 8.8 5.1 4.6 3 2.4 2.6 ...
 $ LIFESTAGE       : chr  "YOUNG SINGLES/COUPLES" "YOUNG SINGLES/COUPLES" "YOUNG SINGLES/COUPLES" "YOUNG SINGLES/COUPLES" ...
 $ PREMIUM_CUSTOMER: chr  "Premium" "Mainstream" "Budget" "Budget" ...
# Total Sales of young singles/couples
sum(young_singles_couples$TOT_SALES, na.rm = TRUE)
[1] 259340

Looking at the summary statistics, we can see that their average spent money is around $7.159, with an average quantity of 1.832 products purchased. The total sales under young singles/couples are $260,405.3.

# Histogram of total sales for young singles/couples
hist(young_singles_couples$TOT_SALES, main = "Total Sales for Young Singles/Couples", xlab = "Total Sales ($)", ylab = "Frequency", col = "skyblue")

The histogram shows that the total sales for young singles/couples might be normally distributed. We now use numerical method to test our hypothesis.

  • Null Hypothesis: The data is normally distributed.
  • Alternative Hypothesis: The data is not normally distributed.
# Shapiro-Wilk test for normality
sample_tot_sales_young_SC <- young_singles_couples[sample(nrow(young_singles_couples), 1000), ]$TOT_SALES
shapiro.test(sample_tot_sales_young_SC)

    Shapiro-Wilk normality test

data:  sample_tot_sales_young_SC
W = 0.97553, p-value = 6.157e-12

The p-value is 1.22e-11 which is less than 0.05. Therefore, we reject the null hypothesis and conclude that the data is not normally distributed.

# Summarize total sales by product name
product_sales <- young_singles_couples %>%
  group_by(PROD_NAME) %>%
  summarise(Total_Sales = sum(TOT_SALES, na.rm = TRUE)) %>%
  arrange(desc(Total_Sales))  # Optional: Sort by total sales in descending order
product_sales

From this table, we can see the total sales for each product purchased by young singles and couples. The top 5 popular under this category are:

  1. Dorito Corn Chp Supreme 380g with total sales of $5 655.0
  2. Smiths Crnkle Chip Orgnl Big Bag 380g with total sales of $5 192.0
  3. Kettle Mozzarella Basil & Pesto 175g with total sales of $5 119.2
  4. Smiths Crinkle Chips Salt & Vinegar 330g with total sales of $4 930.5
  5. Doritos Cheese Supreme 330g with total sales of $4 839.3
# Summarize total sales by premium status
premium_status_sales <- young_singles_couples %>%
        group_by(PREMIUM_CUSTOMER) %>%
        summarize(Total_sales = sum(TOT_SALES, na.rm = TRUE)) %>%
        arrange(desc(Total_sales))  # Optional: Sort by total sales in descending order
premium_status_sales
# Barplot for total sales by premium status
barplot(premium_status_sales$Total_sales, names.arg = premium_status_sales$PREMIUM_CUSTOMER, main = "Total Sales by Premium Status for Young Singles/Couples", xlab = "Premium Status", ylab = "Total Sales ($)", col = "skyblue")

From this table, we can see the total sales for each premium status purchased by young singles and couples. We can see that Mainstream have the highest total sales of $156 882.0, followed by Budget with $60 973.6 and then Premium with $41 520.4. Now we investigate top products in each premium status by total sales.

# Sample Mainstream Customers
mainstream_customers <- young_singles_couples[young_singles_couples$PREMIUM_CUSTOMER == "Mainstream", ]

# Summarize total sales by product name for mainstream customers
product_sales <- mainstream_customers %>%
  group_by(PROD_NAME) %>%
  summarise(Total_Sales = sum(TOT_SALES, na.rm = TRUE)) %>%
  arrange(desc(Total_Sales))  # Optional: Sort by total sales in descending order
product_sales
# Sample Mainstream Customers
budget_customers <- young_singles_couples[young_singles_couples$PREMIUM_CUSTOMER == "Budget", ]

# Summarize total sales by product name for mainstream customers
product_sales <- budget_customers %>%
  group_by(PROD_NAME) %>%
  summarise(Total_Sales = sum(TOT_SALES, na.rm = TRUE)) %>%
  arrange(desc(Total_Sales))  # Optional: Sort by total sales in descending order
product_sales
# Sample Mainstream Customers
premium_customers <- young_singles_couples[young_singles_couples$PREMIUM_CUSTOMER == "Premium", ]

# Summarize total sales by product name for mainstream customers
product_sales <- premium_customers %>%
  group_by(PROD_NAME) %>%
  summarise(Total_Sales = sum(TOT_SALES, na.rm = TRUE)) %>%
  arrange(desc(Total_Sales))  # Optional: Sort by total sales in descending order
product_sales
---
title: "Quantium Data Analysis"
author: "Hector Mathonsi"
date: 2024-12-11
output:
    html_notebook:
        theme: flatly
        highlight: tango
        toc: true
        toc_float: true
---

# Abstract

This report presents a strategic recommendation to assist Julia, the Category Manager, in preparing for an upcoming category review. The analysis focuses on customer purchasing trends and chip-buying behaviors, with particular attention to segmenting customers and identifying key metrics that define their behavior. Utilizing R, with Python as an alternative tool, this study includes data cleaning, outlier detection, and the creation of derived features like pack size and brand name. High-level data summaries and targeted metrics enable the identification of spending drivers across customer segments. The goal is to develop actionable insights with commercial applicability to inform Julia's strategic decisions effectively.

# Data Preparation

## Loading Libraries
```{r}
# Load the required libraries
library(readxl)
library(dplyr)
```

## Importing Data
```{r}
# Load the data
transaction_data <- read_excel("data/QVI_transaction_data.xlsx")
customer_data <- read.csv("data/QVI_purchase_behaviour.csv")

# Display the data
transaction_data
customer_data
```

## Summary Statistics
```{r}
# Summary statistics for transaction data
summary(transaction_data)   # Summary statistics for transaction data
str(transaction_data)    # Structure of transaction data
nrow(transaction_data)   # Number of rows in transaction data

# Summary statistics for customer data
summary(customer_data)   # Summary statistics for customer data
str(customer_data)    # Structure of customer data
nrow(customer_data)   # Number of rows in customer data
```

## Variables Description

The transaction data contains the following variables:

- **DATE**: Date of purchase
- **STORE_NBR**: Store number
- **LYLTY_CARD_NBR**: Customer loyalty card number
- **TXN_ID**: Transaction ID
- **PROD_NBR**: Product number
- **PROD_NAME**: Product name
- **PROD_QTY**: Quantity of product purchased
- **TOT_SALES**: Total sales ($)

The customer data contains the following variables:

- **LYLTY_CARD_NBR**: Customer loyalty card number
- **LIFESTAGE**: Customer lifestage
- **PREMIUM_CUSTOMER**: Customer premium status

# Data Cleaning

## Missing Values
```{r}
# Check for missing values in transaction data
colSums(is.na(transaction_data))

# Check for missing values in customer data
colSums(is.na(customer_data))
```

From the results, there are no missing values in both the transaction and customer data.

## Fix Data Types
```{r}
# Fix date format in transaction data
transaction_data$DATE <- as.Date(transaction_data$DATE, origin = "1899-12-30")
transaction_data

# Check unique values in all variables in transaction data
sort(unique(transaction_data$STORE_NBR))
sort(unique(transaction_data$PROD_NBR))
sort(unique(transaction_data$PROD_NAME))
sort(unique(transaction_data$PROD_QTY))
sort(unique(transaction_data$TOT_SALES))

# Check unique values in all variables in customer data
sort(unique(customer_data$LIFESTAGE))
sort(unique(customer_data$PREMIUM_CUSTOMER))
```

## Outlier Detection
```{r}
# Boxplot for total sales
boxplot(transaction_data$TOT_SALES, main = "Total Sales Boxplot")
hist(transaction_data$TOT_SALES, main = "Total Sales Histogram")

# Remove outliers
q1 <- quantile(transaction_data$TOT_SALES, 0.25, na.rm = TRUE)  # First quartile
q3 <- quantile(transaction_data$TOT_SALES, 0.75, na.rm = TRUE)  # First quartile
IQR <- q3 - q1

lower_bound <- q1 - 1.5 * IQR
upper_bound <- q3 + 1.5 * IQR

transaction_data <- transaction_data[transaction_data$TOT_SALES <= upper_bound, ]

# Check for outliers in total sales
boxplot(transaction_data$TOT_SALES, main = "Total Sales Boxplot")
hist(transaction_data$TOT_SALES, main = "Total Sales Histogram")
```

Both histogram and boxplot show that the outliers have been removed from the total sales data and the total sales data now looks normally distributed. We now use numerical method to test our hypothesis.

- **Null Hypothesis**: The data is normally distributed.
- **Alternative Hypothesis**: The data is not normally distributed.

```{r}
# Shapiro-Wilk test for normality
sample_tot_sales <- transaction_data[sample(nrow(transaction_data), 1000), ]$TOT_SALES
shapiro.test(sample_tot_sales)
```

The p-value is 7.682e-08 which is less than 0.05. Therefore, we reject the null hypothesis and conclude that the data is not normally distributed.

## Merge Data
```{r}
# Merge transaction and customer data by loyalty card number
merged_data <- merge(transaction_data, customer_data, by = "LYLTY_CARD_NBR")
merged_data
```

# Exploratory Data Analysis (EDA)

## Life Stage Analysis

I will analyze the distribution of customers across different life stages.

### YOUNG SINGLES/COUPLES
```{r}
# Sample data for young singles/couples
young_singles_couples <- merged_data[merged_data$LIFESTAGE == "YOUNG SINGLES/COUPLES", ]
young_singles_couples

# Summary statistics for young singles/couples
summary(young_singles_couples) # Summary statistics for young singles/couples
str(young_singles_couples)  # Structure of young singles/couples

# Total Sales of young singles/couples
sum(young_singles_couples$TOT_SALES, na.rm = TRUE)
```

Looking at the summary statistics, we can see that their average spent money is around **`$7.159`**, with an average quantity of **`1.832`** products purchased. The total sales under young singles/couples are **`$260,405.3`**.

```{r}
# Histogram of total sales for young singles/couples
hist(young_singles_couples$TOT_SALES, main = "Total Sales for Young Singles/Couples", xlab = "Total Sales ($)", ylab = "Frequency", col = "skyblue")
```

The histogram shows that the total sales for young singles/couples might be normally distributed. We now use numerical method to test our hypothesis.

- **Null Hypothesis**: The data is normally distributed.
- **Alternative Hypothesis**: The data is not normally distributed.

```{r}
# Shapiro-Wilk test for normality
sample_tot_sales_young_SC <- young_singles_couples[sample(nrow(young_singles_couples), 1000), ]$TOT_SALES
shapiro.test(sample_tot_sales_young_SC)
```

The p-value is 1.22e-11 which is less than 0.05. Therefore, we reject the null hypothesis and conclude that the data is not normally distributed.

```{r}
# Summarize total sales by product name
product_sales <- young_singles_couples %>%
  group_by(PROD_NAME) %>%
  summarise(Total_Sales = sum(TOT_SALES, na.rm = TRUE)) %>%
  arrange(desc(Total_Sales))  # Optional: Sort by total sales in descending order
product_sales
```

From this table, we can see the total sales for each product purchased by young singles and couples. The top 5 popular under this category are:

1. Dorito Corn Chp Supreme 380g	with total sales of **`$5 655.0`**
2. Smiths Crnkle Chip Orgnl Big Bag 380g with total sales of **`$5 192.0`**
3. Kettle Mozzarella Basil & Pesto 175g with total sales of **`$5 119.2`**
4. Smiths Crinkle Chips Salt & Vinegar 330g with total sales of **`$4 930.5`**
5. Doritos Cheese Supreme 330g with total sales of **`$4 839.3`**

```{r}
# Summarize total sales by premium status
premium_status_sales <- young_singles_couples %>%
        group_by(PREMIUM_CUSTOMER) %>%
        summarize(Total_sales = sum(TOT_SALES, na.rm = TRUE)) %>%
        arrange(desc(Total_sales))  # Optional: Sort by total sales in descending order
premium_status_sales

# Barplot for total sales by premium status
barplot(premium_status_sales$Total_sales, names.arg = premium_status_sales$PREMIUM_CUSTOMER, main = "Total Sales by Premium Status for Young Singles/Couples", xlab = "Premium Status", ylab = "Total Sales ($)", col = "skyblue")
```

From this table, we can see the total sales for each premium status purchased by young singles and couples. We can see that Mainstream have the highest total sales of **`$156 882.0`**, followed by Budget with **`$60 973.6`** and then Premium with **`$41 520.4`**. Now we investigate top products in each premium status by total sales.

```{r}
# Sample Mainstream Customers
mainstream_customers <- young_singles_couples[young_singles_couples$PREMIUM_CUSTOMER == "Mainstream", ]

# Summarize total sales by product name for mainstream customers
product_sales <- mainstream_customers %>%
  group_by(PROD_NAME) %>%
  summarise(Total_Sales = sum(TOT_SALES, na.rm = TRUE)) %>%
  arrange(desc(Total_Sales))  # Optional: Sort by total sales in descending order
product_sales
```


```{r}
# Sample Mainstream Customers
budget_customers <- young_singles_couples[young_singles_couples$PREMIUM_CUSTOMER == "Budget", ]

# Summarize total sales by product name for mainstream customers
product_sales <- budget_customers %>%
  group_by(PROD_NAME) %>%
  summarise(Total_Sales = sum(TOT_SALES, na.rm = TRUE)) %>%
  arrange(desc(Total_Sales))  # Optional: Sort by total sales in descending order
product_sales
```

```{r}
# Sample Mainstream Customers
premium_customers <- young_singles_couples[young_singles_couples$PREMIUM_CUSTOMER == "Premium", ]

# Summarize total sales by product name for mainstream customers
product_sales <- premium_customers %>%
  group_by(PROD_NAME) %>%
  summarise(Total_Sales = sum(TOT_SALES, na.rm = TRUE)) %>%
  arrange(desc(Total_Sales))  # Optional: Sort by total sales in descending order
product_sales
```







